Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions
Copyright policy )Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions
<abstract> <p>In this paper, firstly we define the concept of <italic>h</italic>-preinvex fuzzy-interval-valued functions (<italic>h</italic>-preinvex FIVF). Secondly, some new Hermite-Hadamard type inequalities (<italic>H</italic>-<italic>H</italic> type inequalities) for <italic>h</italic>-preinvex FIVFs via fuzzy integrals are established by means of fuzzy order relation. Finally, we obtain Hermite-Hadamard Fejér type inequalities (<italic>H</italic>-<italic>H</italic> Fejér type inequalities) for <italic>h</italic>-preinvex FIVFs by using above relationship. To strengthen our result, we provide some examples to illustrate the validation of our results, and several new and previously known results are obtained.</p> </abstract>
- China Medical University Hospital Taiwan
- China Medical University Taiwan
- King Abdulaziz University Saudi Arabia
- Azerbaijan University Azerbaijan
- Polytechnic University of Cartagena Spain
Statistics and Probability, Relation (database), Artificial intelligence, Interval (graph theory), Fuzzy functional analysis, Fuzzy Differential Equations and Uncertainty Modeling, Matrix Inequalities and Geometric Means, fuzzy-interval Hermite-Hadamard-Fejér inequalities, Mathematical analysis, Fuzzy Logic, Interval-Valued Functions, QA1-939, FOS: Mathematics, h-preinvex fuzzy-interval-valued functions, fuzzy-interval Hermite-Hadamard type inequalities, Data mining, Biology, Hadamard transform, \(h\)-preinvex fuzzy-interval-valued functions, Hermite polynomials, Algebra over a field, fuzzy-interval hermite-hadamard-fejér inequalities, Ecology, Applied Mathematics, Fuzzy real analysis, Pure mathematics, Models, Theoretical, Stability of Functional Equations in Mathematical Analysis, Applied mathematics, Computer science, Fuzzy logic, Inequality, Combinatorics, FOS: Biological sciences, Physical Sciences, Fuzzy set, Hermite-Hadamard Inequalities, fuzzy integral, Type (biology), fuzzy-interval hermite-hadamard type inequalities, TP248.13-248.65, Algorithms, Mathematics, Biotechnology
Statistics and Probability, Relation (database), Artificial intelligence, Interval (graph theory), Fuzzy functional analysis, Fuzzy Differential Equations and Uncertainty Modeling, Matrix Inequalities and Geometric Means, fuzzy-interval Hermite-Hadamard-Fejér inequalities, Mathematical analysis, Fuzzy Logic, Interval-Valued Functions, QA1-939, FOS: Mathematics, h-preinvex fuzzy-interval-valued functions, fuzzy-interval Hermite-Hadamard type inequalities, Data mining, Biology, Hadamard transform, \(h\)-preinvex fuzzy-interval-valued functions, Hermite polynomials, Algebra over a field, fuzzy-interval hermite-hadamard-fejér inequalities, Ecology, Applied Mathematics, Fuzzy real analysis, Pure mathematics, Models, Theoretical, Stability of Functional Equations in Mathematical Analysis, Applied mathematics, Computer science, Fuzzy logic, Inequality, Combinatorics, FOS: Biological sciences, Physical Sciences, Fuzzy set, Hermite-Hadamard Inequalities, fuzzy integral, Type (biology), fuzzy-interval hermite-hadamard type inequalities, TP248.13-248.65, Algorithms, Mathematics, Biotechnology
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